2112121112211 has 24 divisors (see below), whose sum is σ = 3328247866944. Its totient is φ = 1280051469360.

The previous prime is 2112121112207. The next prime is 2112121112237. The reversal of 2112121112211 is 1122111212112.

It is a happy number.

2112121112211 is a `hidden beast` number, since 211 + 21 + 211 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 2112121112211 - 2² = 2112121112207 is a prime.

It is a super-2 number, since 2×2112121112211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112121112251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7071480 + ... + 7364106.

It is an arithmetic number, because the mean of its divisors is an integer number (138676994456).

Almost surely, 2^{2112121112211} is an apocalyptic number.

2112121112211 is a deficient number, since it is larger than the sum of its proper divisors (1216126754733).

2112121112211 is a wasteful number, since it uses less digits than its factorization.

2112121112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365551 (or 365548 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2112121112211 its reverse (1122111212112), we get a palindrome (3234232324323).

Subtracting from 2112121112211 its reverse (1122111212112), we obtain a palindrome (990009900099).

The spelling of 2112121112211 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, two hundred eleven".